Authors:
- Contains two surveys of new results on linear and multilinear analysis
- Offers a very nice presentation of the De Giorgi–Moser–Nash result
- Contains elegant applications of harmonic analysis to human vision
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents (4 chapters)
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Front Matter
About this book
This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduction to a deep result of De Giorgi, Moser and Nash on regularity of elliptic partial differential equations in divergence form.
Authors and Affiliations
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Dipartimento di Matematica, Università di Bologna, Bologna, Italy
Giovanna Citti
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Department of Mathematics, University of Missouri, Columbia, USA
Loukas Grafakos
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Departamento de Análisis Matemático, Universidad de Sevilla, Sevilla, Spain
Carlos Pérez
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Dipartimento di Elettronica, Informatica e Sistemistica, Università di Bologna, Bologna, Italy
Alessandro Sarti
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Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, Finland
Xiao Zhong
Bibliographic Information
Book Title: Harmonic and Geometric Analysis
Authors: Giovanna Citti, Loukas Grafakos, Carlos Pérez, Alessandro Sarti, Xiao Zhong
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/978-3-0348-0408-0
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2015
Softcover ISBN: 978-3-0348-0407-3Published: 22 May 2015
eBook ISBN: 978-3-0348-0408-0Published: 28 April 2015
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: IX, 170
Number of Illustrations: 7 b/w illustrations, 12 illustrations in colour
Topics: Analysis, Partial Differential Equations